Unit Circle Trigonometry Quiz
82 Questions
100 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the value of tan 2π?

0

What is the value of tan π/6?

√3/3

What is the value of tan π/4?

1

What is the value of tan π/3?

<p>√3</p> Signup and view all the answers

What is the value of tan π/2?

<p>undefined</p> Signup and view all the answers

What is the value of tan 2π/3?

<p>-√3</p> Signup and view all the answers

What is the value of tan 3π/4?

<p>-1</p> Signup and view all the answers

What is the value of tan 5π/6?

<p>-√3/3</p> Signup and view all the answers

What is the value of tan π?

<p>0</p> Signup and view all the answers

What is the value of tan 7π/6?

<p>√3/3</p> Signup and view all the answers

What is the value of tan 5π/4?

<p>1</p> Signup and view all the answers

What is the value of tan 4π/3?

<p>√3</p> Signup and view all the answers

What is the value of tan 3π/2?

<p>undefined</p> Signup and view all the answers

What is the value of tan 5π/3?

<p>-√3</p> Signup and view all the answers

What is the value of tan 7π/4?

<p>-1</p> Signup and view all the answers

What is the value of tan 11π/6?

<p>-√3/3</p> Signup and view all the answers

What is the value of sin(π/6)?

<p>1/2</p> Signup and view all the answers

What is the value of sin(π/4)?

<p>√2/2</p> Signup and view all the answers

What is the value of sin(π/3)?

<p>√3/2</p> Signup and view all the answers

What is the value of sin(π/2)?

<p>1</p> Signup and view all the answers

What is the value of sin(2π/3)?

<p>√3/2</p> Signup and view all the answers

What is the value of sin(3π/4)?

<p>√2/2</p> Signup and view all the answers

What is the value of sin(5π/6)?

<p>1/2</p> Signup and view all the answers

What is the value of sin(π)?

<p>0</p> Signup and view all the answers

What is the value of sin(7π/6)?

<p>-1/2</p> Signup and view all the answers

What is the value of sin(5π/4)?

<p>-√2/2</p> Signup and view all the answers

What is the value of sin(4π/3)?

<p>-√3/2</p> Signup and view all the answers

What is the value of sin(3π/2)?

<p>-1</p> Signup and view all the answers

What is the value of sin(5π/3)?

<p>-√3/2</p> Signup and view all the answers

What is the value of sin(7π/4)?

<p>-√2/2</p> Signup and view all the answers

What is the value of sin(11π/6)?

<p>-1/2</p> Signup and view all the answers

What is the value of sin(2π)?

<p>0</p> Signup and view all the answers

What is the value of cos(π/6)?

<p>√3/2</p> Signup and view all the answers

What is the value of cos(π/4)?

<p>√2/2</p> Signup and view all the answers

What is the value of cos(π/3)?

<p>1/2</p> Signup and view all the answers

What is the value of cos(π/2)?

<p>0</p> Signup and view all the answers

What is the value of cos(2π/3)?

<p>-1/2</p> Signup and view all the answers

What is the value of cos(3π/4)?

<p>-√2/2</p> Signup and view all the answers

What is the value of cos(5π/6)?

<p>-√3/2</p> Signup and view all the answers

What is the value of cos(π)?

<p>-1</p> Signup and view all the answers

What is the value of cos(7π/6)?

<p>-√3/2</p> Signup and view all the answers

What is the value of cos(5π/4)?

<p>-√2/2</p> Signup and view all the answers

What is the value of cos(4π/3)?

<p>-1/2</p> Signup and view all the answers

What is the value of cos(3π/2)?

<p>0</p> Signup and view all the answers

What is the value of cos(5π/3)?

<p>1/2</p> Signup and view all the answers

What is the value of cos(7π/4)?

<p>√2/2</p> Signup and view all the answers

What is the value of cos(11π/6)?

<p>√3/2</p> Signup and view all the answers

What is the value of cos(2π)?

<p>1</p> Signup and view all the answers

What is the value of sec(0)?

<p>1</p> Signup and view all the answers

What is the value of sec(π/6)?

<p>2√3/3</p> Signup and view all the answers

What is the value of sec(π/4)?

<p>√2</p> Signup and view all the answers

What is the value of sec(π/3)?

<p>2</p> Signup and view all the answers

What is the value of sec(π/2)?

<p>undefined</p> Signup and view all the answers

What is the value of sec(2π/3)?

<p>-2</p> Signup and view all the answers

What is the value of sec(3π/4)?

<p>-√2</p> Signup and view all the answers

What is the value of sec(5π/6)?

<p>-2√3/3</p> Signup and view all the answers

What is the value of sec(π)?

<p>-1</p> Signup and view all the answers

What is the value of sec(7π/6)?

<p>-2√3/3</p> Signup and view all the answers

What is the value of sec(5π/4)?

<p>-√2</p> Signup and view all the answers

What is the value of sec(4π/3)?

<p>-2</p> Signup and view all the answers

What is the value of sec(3π/2)?

<p>undefined</p> Signup and view all the answers

What is the value of sec(5π/3)?

<p>2</p> Signup and view all the answers

What is the value of sec(7π/4)?

<p>√2</p> Signup and view all the answers

What is the value of sec(11π/6)?

<p>2√3/3</p> Signup and view all the answers

What is the value of sec(2π)?

<p>1</p> Signup and view all the answers

What is the value of csc(0)?

<p>undefined</p> Signup and view all the answers

What is the value of csc(π/6)?

<p>2</p> Signup and view all the answers

What is the value of csc(π/4)?

<p>√2</p> Signup and view all the answers

What is the value of csc(π/3)?

<p>2√3/3</p> Signup and view all the answers

What is the value of csc(π/2)?

<p>1</p> Signup and view all the answers

What is the value of csc(2π/3)?

<p>2√3/3</p> Signup and view all the answers

What is the value of csc(3π/4)?

<p>√2</p> Signup and view all the answers

What is the value of csc(5π/6)?

<p>2</p> Signup and view all the answers

What is the value of csc(π)?

<p>undefined</p> Signup and view all the answers

What is the value of csc(7π/6)?

<p>-2</p> Signup and view all the answers

What is the value of csc(5π/4)?

<p>-√2</p> Signup and view all the answers

What is the value of csc(4π/3)?

<p>-2√3/3</p> Signup and view all the answers

What is the value of csc(3π/2)?

<p>-1</p> Signup and view all the answers

What is the value of csc(5π/3)?

<p>-2√3/3</p> Signup and view all the answers

What is the value of csc(7π/4)?

<p>-√2</p> Signup and view all the answers

What is the value of csc(11π/6)?

<p>-2</p> Signup and view all the answers

What is the value of csc(2π)?

<p>undefined</p> Signup and view all the answers

Study Notes

Tangent Values

  • tan(2π) = 0
  • tan(π/6) = √3/3
  • tan(π/4) = 1
  • tan(π/3) = √3
  • tan(π/2) = undefined
  • tan(2π/3) = -√3
  • tan(3π/4) = -1
  • tan(5π/6) = -√3/3
  • tan(π) = 0
  • tan(7π/6) = √3/3
  • tan(5π/4) = 1
  • tan(4π/3) = √3
  • tan(3π/2) = undefined
  • tan(5π/3) = -√3
  • tan(7π/4) = -1
  • tan(11π/6) = -√3/3
  • tan(2π) = 0

Sine Values

  • sin(π/6) = 1/2
  • sin(π/4) = √2/2
  • sin(π/3) = √3/2
  • sin(π/2) = 1
  • sin(2π/3) = √3/2
  • sin(3π/4) = √2/2
  • sin(5π/6) = 1/2
  • sin(π) = 0
  • sin(7π/6) = −1/2
  • sin(5π/4) = −√2/2
  • sin(4π/3) = −√3/2
  • sin(3π/2) = −1
  • sin(5π/3) = −√3/2
  • sin(7π/4) = −√2/2
  • sin(11π/6) = −1/2
  • sin(2π) = 0

Cosine Values

  • cos(π/6) = √3/2
  • cos(π/4) = √2/2
  • cos(π/3) = 1/2
  • cos(π/2) = 0
  • cos(2π/3) = −1/2
  • cos(3π/4) = −√2/2
  • cos(5π/6) = −√3/2
  • cos(π) = −1
  • cos(7π/6) = −√3/2
  • cos(5π/4) = −√2/2
  • cos(4π/3) = −1/2
  • cos(3π/2) = 0
  • cos(5π/3) = 1/2
  • cos(7π/4) = √2/2
  • cos(11π/6) = √3/2
  • cos(2π) = 1

Secant Values

  • sec(0) = 1
  • sec(π/6) = 2√3/3
  • sec(π/4) = √2
  • sec(π/3) = 2
  • sec(π/2) = undefined
  • sec(2π/3) = -2
  • sec(3π/4) = -√2
  • sec(5π/6) = -2√3/3
  • sec(π) = -1
  • sec(7π/6) = -2√3/3
  • sec(5π/4) = -√2
  • sec(4π/3) = -2
  • sec(3π/2) = undefined
  • sec(5π/3) = 2
  • sec(7π/4) = √2
  • sec(11π/6) = 2√3/3
  • sec(2π) = 1

Cosecant Values

  • csc(0) = undefined
  • csc(π/6) = 2
  • csc(π/4) = √2
  • csc(π/3) = 2√3/3
  • csc(π/2) = 1
  • csc(2π/3) = 2√3/3
  • csc(3π/4) = √2
  • csc(5π/6) = 2
  • csc(π) = undefined
  • csc(7π/6) = -2
  • csc(5π/4) = -√2
  • csc(4π/3) = -2√3/3
  • csc(3π/2) = -1
  • csc(5π/3) = -2√3/3
  • csc(7π/4) = -√2
  • csc(11π/6) = -2
  • csc(2π) = undefined

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

Test your knowledge of the unit circle and tangent values with this flashcard quiz. Each card presents a specific angle and challenges you to recall the corresponding tangent value. Perfect for students looking to reinforce their understanding of trigonometric functions.

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser